Question

5. Verify a * (b + c) = a × b + ax c, if:
(a) a= -20, b = 15, c = 25
(b) a=-1, b = -2, c = 3
(c) a = 10, b = -2, c = 3
(d) a = -100, b = -200, c = -300​

Answer 1

Step-by-step explanation:

By putting the value of a, b and c in the given relation we have to prove right hand equals to left hand side.

(a) LHS: a*(b+c) = -20 *( 15+25) = -800

RHS: a x b + a x c = -20 x 15 + -20 x 25 = -300-500 = -800

LHS IS NOT EQUAL TO RHS

(b)

LHS: a*(b+c) = -1*( -2+3) = -1

RHS: a x b + a x c = -1 x -2+ -1 x 3 = 2-3 = -1

LHS IS EQUAL TO RHS

c) LHS: a*(b+c) = 10*( -2+3) = 10

RHS: a x b + a x c = 10 x -2+ 10x 3 = -20+30 = 10

LHS IS EQUAL TO RHS

d) LHS: a*(b+c) = -100*( -200-300) = 50000

RHS: a x b + a x c = -100 x -200+ -100x -300 = 20000+30000 = 50000

LHS IS EQUAL TO RHS